Combining Texts

All the ideas for 'fragments/reports', 'Principles of Arithmetic, by a new method' and 'The Correspondence Theory of Truth'

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15 ideas

3. Truth / A. Truth Problems / 5. Truth Bearers
Must sentences make statements to qualify for truth? [O'Connor]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Beliefs must match facts, but also words must match beliefs [O'Connor]
3. Truth / F. Semantic Truth / 2. Semantic Truth
The semantic theory requires sentences as truth-bearers, not propositions [O'Connor]
What does 'true in English' mean? [O'Connor]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Logic seems to work for unasserted sentences [O'Connor]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
PA concerns any entities which satisfy the axioms [Peano, by Bostock]
Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
Events are fast changes which are of interest to us [O'Connor]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
We can't contemplate our beliefs until we have expressed them [O'Connor]
Without language our beliefs are particular and present [O'Connor]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]